\begin{landscape} 
\begin{table}
\begin{tabular}{l| rr rr |rr rr rr }
&Mean DA  & SD DA  & Mean Scaled DA  & SD Scaled DA  & Mean Chain1  & SD Chain1  & Mean Chain2  & SD Chain2  & Mean Chain3  & SD Chain3  \\ \hline 
 $\sigma_{y}^{2}$  & 29919.7375  & 8701.0894  & 157.7786  & 60.7126  & 151.3082  & 56.1280  & 154.5753  & 59.9862  & 155.0152  & 56.3097  \\ 
 $\alpha_{\rho}$  & -1.2290  & 0.0718  & -1.1429  & 0.1013  & -1.1265  & 0.0974  & -1.1234  & 0.1061  & -1.1189  & 0.1004  \\ 
 $\beta_{\rho}$  & -0.3707  & 0.0393  & -0.3069  & 0.0729  & -0.2895  & 0.0666  & -0.2929  & 0.0656  & -0.2904  & 0.0667  \\ 
 $\alpha_{\lambda}$  & -4.5719  & 0.0348  & -2.2751  & 0.0368  & -2.2777  & 0.0356  & -2.2789  & 0.0375  & -2.2764  & 0.0354  \\ 
 $\beta_{lambda}$  & -0.3668  & 0.0393  & -0.3589  & 0.0435  & -0.3570  & 0.0432  & -0.3568  & 0.0430  & -0.3582  & 0.0421  \\ 
 $\alpha_{1}$  & 0.5601  & 0.0708  & 0.5262  & 0.0689  & 0.5191  & 0.0697  & 0.5176  & 0.0672  & 0.5222  & 0.0674  \\ 
 $\beta_{1}$  & -0.1912  & 0.0596  & -0.2078  & 0.0601  & -0.2086  & 0.0607  & -0.2030  & 0.0604  & -0.2019  & 0.0601  \\ 
 $\alpha_{a}$  & 1.5914  & 0.0505  & 1.5409  & 0.0720  & 1.5336  & 0.0676  & 1.5287  & 0.0721  & 1.5242  & 0.0697  \\ 
 $\beta_{a}$  & -0.2404  & 0.0344  & -0.2468  & 0.0417  & -0.2515  & 0.0390  & -0.2482  & 0.0399  & -0.2519  & 0.0400  \\ 
 $N_{3}$  & 993.6807  & 24.2504  & 104.7687  & 6.0909  & 110.5827  & 5.6849  & 110.2787  & 5.7470  & 110.2347  & 5.7575  \\ 
 $N_{13}$  & 1805.4320  & 41.3248  & 170.5947  & 6.6869  & 170.8687  & 6.5966  & 170.4053  & 6.7180  & 170.4147  & 6.9998  \\ 
 $N_{23}$  & 1457.1767  & 53.1947  & 158.5800  & 7.2918  & 159.4260  & 6.9103  & 158.3020  & 7.6913  & 159.3240  & 7.2114  \\ 
 $N_{33}$  & 899.7593  & 52.6675  & 94.9613  & 5.6326  & 95.5120  & 5.5200  & 94.6880  & 5.7740  & 94.6400  & 6.1163  \\ 
 \\ \hline \hline
\end{tabular}
\caption{Results for HMM in DA (3 chains, 2000 \texttt{iter},  100 \texttt{adapt}, 500 burn-in) 
for the scaled (by 10) lapwings data, against the results for the full DA 
with the original and the scaled (by 10) data (both : 1 chain, 2000 \texttt{iter}, 100 \texttt{adapt}, 500 burn-in). 
($Na$ starts at $t=3$ because of different timing of the components of the integrated model.)}
\end{table}
\end{landscape} 
